Worksheet for graphing quadratic functions in factored form, featuring four problems with corresponding coordinate grids for sketching.

Graphing Quadratic Functions Factored Form Worksheet #2 with four problems, each requiring students to analyze and sketch the graph of a quadratic function, including identifying vertex, axis of symmetry, domain, range, and intercepts.

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1. y = 2(x+3)(x-1)
Opens Up or Down? Up
Is the vertex a Max or Min? Min
x-intercepts: -3, 1
Axis of symmetry is x = -1
Vertex: (-1, -8)
Domain: All real numbers
Range: y ≥ -8

2. y = -1/2(x-4)(x-8)
Opens Up or Down? Down
Is the vertex a Max or Min? Max
x-intercepts: 4, 8
Axis of symmetry is x = 6
Vertex: (6, 2)
Domain: All real numbers
Range: y ≤ 2

3. y = 3x² + 12x
Factor: 3x(x + 4)
Opens Up or Down? Up
Is the vertex a Max or Min? Min
y-intercept: 0
Axis of symmetry is x = -2
Vertex: (-2, -12)
Domain: All real numbers
Range: y ≥ -12

4. y = x² + 4x - 12
Factor: (x + 6)(x - 2)
Opens Up or Down? Up
Is the vertex a Max or Min? Min
y-intercept: -12
Axis of symmetry is x = -2
Vertex: (-2, -16)
Domain: All real numbers
Range: y ≥ -16

Parent Tip: Review the logic above to help your child master the concept of graphing quadratic functions worksheet.

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